We investigate conventional photon blockade in a non-degenerate four wave mixing system with Kerr non-linearity. By analyzing the Hamiltonian of the system, the analytic conditions for the photon blockade have been obtained. And the numerical results have been calculated by solving the master equation. We find that the analytic conditions could be consistent with the numerical results, and the photon blockade could be realized in this system. Furthermore, we discuss the effect of several parameters on the realization of conventional photon blockade in details. The results show that four wave mixing interaction and Kerr non-linearity could greatly enhance the conventional photon blockade effect, whereas the dissipation rate has a negative effect on implementing photon blockade.
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